56886430464 has 576 divisors, whose sum is σ = 186020352000. Its totient is φ = 17079828480.

The previous prime is 56886430463. The next prime is 56886430487. The reversal of 56886430464 is 46403468865.

56886430464 is a `hidden beast` number, since 5 + 68 + 86 + 43 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56886430464.

It is not an unprimeable number, because it can be changed into a prime (56886430463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362333874 + ... + 362334030.

It is an arithmetic number, because the mean of its divisors is an integer number (322952000).

Almost surely, 2^56886430464 is an apocalyptic number.

56886430464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56886430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93010176000).

56886430464 is an abundant number, since it is smaller than the sum of its proper divisors (129133921536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56886430464 is a wasteful number, since it uses less digits than its factorization.

56886430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 56886430464 in words is "fifty-six billion, eight hundred eighty-six million, four hundred thirty thousand, four hundred sixty-four".